What is the Least Common Multiple of 94704 and 94710?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 94704 and 94710 is 1494902640.
LCM(94704,94710) = 1494902640
Least Common Multiple of 94704 and 94710 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94704 and 94710, than apply into the LCM equation.
GCF(94704,94710) = 6
LCM(94704,94710) = ( 94704 × 94710) / 6
LCM(94704,94710) = 8969415840 / 6
LCM(94704,94710) = 1494902640
Least Common Multiple (LCM) of 94704 and 94710 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94704 and 94710. First we will calculate the prime factors of 94704 and 94710.
Prime Factorization of 94704
Prime factors of 94704 are 2, 3, 1973. Prime factorization of 94704 in exponential form is:
94704 = 24 × 31 × 19731
Prime Factorization of 94710
Prime factors of 94710 are 2, 3, 5, 7, 11, 41. Prime factorization of 94710 in exponential form is:
94710 = 21 × 31 × 51 × 71 × 111 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 94704 and 94710.
LCM(94704,94710) = 24 × 31 × 19731 × 51 × 71 × 111 × 411
LCM(94704,94710) = 1494902640
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